EUDML | Lyapunov inequalities for one-dimensional -Laplacian problems with a singular weight function.

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Displaying similar documents to “Lyapunov inequalities for one-dimensional $p$ -Laplacian problems with a singular weight function.”

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Singular Dirichlet boundary value problems. II: Resonance case

Donal O'Regan (1998)

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Existence results are established for the resonant problem $y^{''} + λ_{m} a y = f (t, y)$ a.e. on $[0, 1]$ with $y$ satisfying Dirichlet boundary conditions. The problem is singular since $f$ is a Carathéodory function, $a \in L_{l o c}^{1} (0, 1)$ with $a > 0$ a.e. on $[0, 1]$ and $\int_{0}^{1} x (1 - x) a (x) d x < \infty$ .